p adic functional analysis

P-Adic Functional Analysis

ISBN: , SKU: , AUTHOR: Kakol, J. / de Grande-de Kimpe, N. / Perez-Garcia, C., PUBLISHER: CRC Press, A presentation of results in p-adic Banach spaces, spaces over fields with an infinite rank valuation, Frechet (and locally convex) spaces with Schauder bases, function spaces, p-adic harmonic analysis, and related areas. It showcases research results in functional analysis over nonarchimedean valued complete fields. It explores spaces of continuous functions, isometries, Banach Hopf algebras, summability methods, fractional differentiation over local fields, and adelic formulas for gamma- and beta-functions in algebraic number theory.

Functional Analysis

ISBN: , SKU: , AUTHOR: Bachmann, George / Narici, Lawrence / Mathematics, PUBLISHER: Dover Publications, Excellent treatment of subject geared toward students with background in linear algebra, advanced calculus, physics and engineering. Text covers introduction to inner-product spaces, normed, metric spaces, and topological spaces; complete orthonormal sets, the Hahn-Banach Theorem and its consequences, and many other related subjects. Includes detailed proofs of theorems, bibliography, and index of symbols. edition.

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Multivariable Analysis

Multivariable Analysis: This book provides a rigorous treatment of multivariable differential and integral calculus. Implicit function theorem and the inverse function theorem based on total derivatives is explained along with the results and the connection to solving systems of equations. There is an extensive treatment of extrema, including constrained extrema and Lagrange multipliers, covering both first order necessary conditions and second order sufficient conditions. The material on Riemann integration in n dimensions, being delicate by its very nature, is discussed in detail. Differential forms and the general Stokes' Theorem are expounded in the last chapter. With a focus on clarity rather than brevity, this text gives clear motivation, definitions and examples with transparent proofs. Much of the material included is published for the first time in textbook form, for example Schwarz' Theorem in Chapter 2 and double sequences and sufficient conditions for constrained extrema in Chapter 4. A wide selection of problems, ranging from simple to more challenging, are included with carefully formed solutions. Ideal as a classroom text or a self study resource for students, this book will appeal to higher level undergraduates in Mathematics.

Data Analysis

Data Analysis: This book bridges the gap between statistical theory and physcal experiment. It provides a thorough introduction to the statistical methods used in the experimental physical sciences and to the numerical methods used to implement them. An accompanying CD-ROM provides detailed code (in Fortran77 and in C) for implementing many of these algorithms (for IBM PS/2 or PC machines). The treatment emphasizes concise but rigorous mathematics but always retains its focus on applications. The reader is presumed to have a sound basic knowledge of differential and integral calulus and some knowledge of vectors and matrices (an appendix develops the vector and matrix methods used and provides a collection of related computer routines). After an introduction of probability, random variables, computer generation of random numbers (Monte Carlo methods) and impotrtant distributions (such as the biomial, Poisson, and normal distributions), the book turns to a discussion of statistical samples, the maximum likelihood method, and the testing of statistical hypotheses. The discussion concludes with the discussion of several important stistical methods: least squares, analysis of variance, polynomial regression, and analysis of tiem series. Appendices provide the necessary methods of matrix algebra, combinatorics, and many sets of useful algorithms and formulae. The book is intended for graduate students setting out on experimental research, but it should also provide a useful reference and programming guide for experienced experimenters.

Self-Analysis

ISBN: , SKU: , AUTHOR: Horney, Karen, PUBLISHER: W. W. Norton & Company, She discusses the driving forces in the neuroses, the different stages of psychoanalytic understanding, the patient's and the analyst's share in the psychoanalytic process, occasional and systematic self-analysis, and the realistic expectations of undertaking self-analysis.

Complex Analysis

ISBN: , SKU: , AUTHOR: Gamelin, Theodore W. / Gamelin, T. W., PUBLISHER: Springer, The book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school. The first part comprises the basic core of a course in complex analysis for junior and senior undergraduates. The second part includes various more specialized topics as the argument principle the Poisson integral, and the Riemann mapping theorem. The third part consists of a selection of topics designed to complete the coverage of all background necessary for passing Ph.D. qualifying exams in complex analysis.

Neuronal Network Analysis

Neuronal Network Analysis: In the last few years, technologies that allow for monitoring and manipulating neuronal networks at a single cell resolution have been rapidly expanding. In Neuronal Network Analysis: Concepts and Experimental Approaches, experts in the field provide an overview of some of the most advanced techniques for the study of neuronal circuits, highlighting current technical limitations and providing a vision of what is yet to come. Broken into six convenient, interdependent section, this volume covers optical approaches, electrophysiological approaches, both in vitro and in vivo, optogenetics, morpho-functional approaches, and neuronal network analysis in humans. As a volume in the Neuromethods series, this work provides the kind of detailed description and implementation advice that is crucial for getting optimal results. Authoritative and cutting-edge, Neuronal Network Analysis: Concepts and Experimental Approaches will be useful for early career neuroscientists, as well as for experienced neuroscientists, by providing a practical framework for studying the brain as an organ while maintaining an appreciation for its cellular diversity.

Self-Analysis (Paperback)

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Document Analysis (Hardcover)

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Analysis mathematics 1

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Practical Meta-Analysis (Hardcover)

What research designs and methodological features qualify a study for meta-analysis and which disqualify it? What types of research reports are appropriate for the meta-analysis? What is the cultural and linguistic range of the studies to be included? By integrating and translating the current methodological and statistical work into a practical guide,the authors address these questions to provide readers with a state-of-the-art introduction to the various approaches to doing meta-analysis.

Introductory Mathematical Analysis for

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Decision Analysis for Manage

Decision Analysis for Management Judgement 4th Edition for university students ()

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Analysis of Neural Data

Analysis of Neural Data: Continual improvements in data collection and processing have had a huge impact on brain research, producing data sets that are often large and complicated. By emphasizing a few fundamental principles, and a handful of ubiquitous techniques, Analysis of Neural Data provides a unified treatment of analytical methods that have become essential for contemporary researchers. Throughout the book ideas are illustrated with more than 100 examples drawn from the literature, ranging from electrophysiology, to neuroimaging, to behavior. By demonstrating the commonality among various statistical approaches the authors provide the crucial tools for gaining knowledge from diverse types of data. Aimed at experimentalists with only high-school level mathematics, as well as computationally-oriented neuroscientists who have limited familiarity with statistics, Analysis of Neural Data serves as both a self-contained introduction and a reference work.

Software Verification and Analysis

Software Verification and Analysis: The situation is good, but not hopeless (Polish folk wisdom) The text is devoted to the Software Analysis and Testing (SAT) methods and s- porting tools for assessing and, if possible, improving software quality, specifically its correctness. The term quality assurance is avoided for it is this author s firm belief that in the current state of the art that goal is unattainable, a plethora of gu- anteed solutions to the problem notwithstanding. Therefore, the rather awkward phrase improving correctness is to be understood as an effort to minimize the number of residual programming faults (bugs) and their impact on the software s behavior, that is, to make the faults tolerable. It is clear that such a minimalist approach is a result of frustration. Indeed, having spent years developing software and teaching (preaching) How to do it right, I still do not know how to go about it with any degree of certainty! It appears then I probably should stop right now, for who with a modicum of common sense would reach for a text that does not offer salvation but (as will be seen) hard work and misery If I intend to continue, it is only that I suspect there are many professionals out there who have similar doubts. And they are the intended audience of this project. The philosophical underpinning of the text is the importance of sound engine- ing practices in software development.

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